TSTP Solution File: SEV259^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV259^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gHKhBD5RIh true

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 20:00:14 EDT 2023

% Result   : Theorem 1.48s 0.79s
% Output   : Refutation 1.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   18 (   6 unt;   8 typ;   0 def)
%            Number of atoms       :   18 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  167 (   6   ~;   1   |;  25   &;  88   @)
%                                         (  17 <=>;  30  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   8 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   74 (  74   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   3 con; 0-3 aty)
%            Number of variables   :   67 (   0   ^;  64   !;   3   ?;  67   :)

% Comments : 
%------------------------------------------------------------------------------
thf(b_type,type,
    b: $tType ).

thf(zip_tseitin_1_type,type,
    zip_tseitin_1: ( b > $o ) > b > ( ( b > $o ) > $o ) > $o ).

thf(sk__3_type,type,
    sk__3: b > $o ).

thf(sk__1_type,type,
    sk__1: b > $o ).

thf(zip_tseitin_0_type,type,
    zip_tseitin_0: b > ( b > $o ) > ( b > $o ) > $o ).

thf(sk__2_type,type,
    sk__2: b ).

thf(cCLOSURE_THM0_pme,conjecture,
    ! [S: ( b > $o ) > $o] :
      ( ( ! [Y: b > $o,Z: b > $o,S0: b > $o] :
            ( ( ! [Xx: b] :
                  ( ( S0 @ Xx )
                <=> ( ( Z @ Xx )
                    & ( Y @ Xx ) ) )
              & ( S @ Z )
              & ( S @ Y ) )
           => ( S @ S0 ) )
        & ! [K: ( b > $o ) > $o,R: b > $o] :
            ( ( ! [Xx: b] :
                  ( ( R @ Xx )
                <=> ? [S0: b > $o] :
                      ( ( K @ S0 )
                      & ( S0 @ Xx ) ) )
              & ! [Xx: b > $o] :
                  ( ( K @ Xx )
                 => ( S @ Xx ) ) )
           => ( S @ R ) )
        & ! [R: b > $o] :
            ( ! [Xx: b] :
                ( ( R @ Xx )
              <=> $true )
           => ( S @ R ) )
        & ! [R: b > $o] :
            ( ! [Xx: b] :
                ( ( R @ Xx )
              <=> $false )
           => ( S @ R ) ) )
     => ! [W: b > $o,Xx: b] :
          ( ( W @ Xx )
         => ! [S0: b > $o] :
              ( ( ! [R: b > $o] :
                    ( ! [Xx0: b] :
                        ( ( R @ Xx0 )
                      <=> ~ ( S0 @ Xx0 ) )
                   => ( S @ R ) )
                & ! [Xx0: b] :
                    ( ( W @ Xx0 )
                   => ( S0 @ Xx0 ) ) )
             => ( S0 @ Xx ) ) ) ) ).

thf(zf_stmt_0,type,
    zip_tseitin_1: ( b > $o ) > b > ( ( b > $o ) > $o ) > $o ).

thf(zf_stmt_1,axiom,
    ! [S0: b > $o,Xx: b,K: ( b > $o ) > $o] :
      ( ( zip_tseitin_1 @ S0 @ Xx @ K )
    <=> ( ( S0 @ Xx )
        & ( K @ S0 ) ) ) ).

thf(zf_stmt_2,type,
    zip_tseitin_0: b > ( b > $o ) > ( b > $o ) > $o ).

thf(zf_stmt_3,axiom,
    ! [Xx: b,Z: b > $o,Y: b > $o] :
      ( ( zip_tseitin_0 @ Xx @ Z @ Y )
    <=> ( ( Y @ Xx )
        & ( Z @ Xx ) ) ) ).

thf(zf_stmt_4,conjecture,
    ! [S: ( b > $o ) > $o] :
      ( ( ! [R: b > $o] :
            ( ! [Xx: b] :
                ( ( R @ Xx )
              <=> $false )
           => ( S @ R ) )
        & ! [R: b > $o] :
            ( ! [Xx: b] :
                ( ( R @ Xx )
              <=> $true )
           => ( S @ R ) )
        & ! [K: ( b > $o ) > $o,R: b > $o] :
            ( ( ! [Xx: b > $o] :
                  ( ( K @ Xx )
                 => ( S @ Xx ) )
              & ! [Xx: b] :
                  ( ( R @ Xx )
                <=> ? [S0: b > $o] : ( zip_tseitin_1 @ S0 @ Xx @ K ) ) )
           => ( S @ R ) )
        & ! [Y: b > $o,Z: b > $o,S0: b > $o] :
            ( ( ( S @ Y )
              & ( S @ Z )
              & ! [Xx: b] :
                  ( ( S0 @ Xx )
                <=> ( zip_tseitin_0 @ Xx @ Z @ Y ) ) )
           => ( S @ S0 ) ) )
     => ! [W: b > $o,Xx: b] :
          ( ( W @ Xx )
         => ! [S0: b > $o] :
              ( ( ! [Xx0: b] :
                    ( ( W @ Xx0 )
                   => ( S0 @ Xx0 ) )
                & ! [R: b > $o] :
                    ( ! [Xx0: b] :
                        ( ( R @ Xx0 )
                      <=> ~ ( S0 @ Xx0 ) )
                   => ( S @ R ) ) )
             => ( S0 @ Xx ) ) ) ) ).

thf(zf_stmt_5,negated_conjecture,
    ~ ! [S: ( b > $o ) > $o] :
        ( ( ! [R: b > $o] :
              ( ! [Xx: b] :
                  ( ( R @ Xx )
                <=> $false )
             => ( S @ R ) )
          & ! [R: b > $o] :
              ( ! [Xx: b] :
                  ( ( R @ Xx )
                <=> $true )
             => ( S @ R ) )
          & ! [K: ( b > $o ) > $o,R: b > $o] :
              ( ( ! [Xx: b > $o] :
                    ( ( K @ Xx )
                   => ( S @ Xx ) )
                & ! [Xx: b] :
                    ( ( R @ Xx )
                  <=> ? [S0: b > $o] : ( zip_tseitin_1 @ S0 @ Xx @ K ) ) )
             => ( S @ R ) )
          & ! [Y: b > $o,Z: b > $o,S0: b > $o] :
              ( ( ( S @ Y )
                & ( S @ Z )
                & ! [Xx: b] :
                    ( ( S0 @ Xx )
                  <=> ( zip_tseitin_0 @ Xx @ Z @ Y ) ) )
             => ( S @ S0 ) ) )
       => ! [W: b > $o,Xx: b] :
            ( ( W @ Xx )
           => ! [S0: b > $o] :
                ( ( ! [Xx0: b] :
                      ( ( W @ Xx0 )
                     => ( S0 @ Xx0 ) )
                  & ! [R: b > $o] :
                      ( ! [Xx0: b] :
                          ( ( R @ Xx0 )
                        <=> ~ ( S0 @ Xx0 ) )
                     => ( S @ R ) ) )
               => ( S0 @ Xx ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl19,plain,
    ~ ( sk__3 @ sk__2 ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl16,plain,
    ! [X8: b] :
      ( ( sk__3 @ X8 )
      | ~ ( sk__1 @ X8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl20,plain,
    sk__1 @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl40,plain,
    sk__3 @ sk__2,
    inference('sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl20]) ).

thf(zip_derived_cl58,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl40]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SEV259^5 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gHKhBD5RIh true
% 0.14/0.36  % Computer : n007.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu Aug 24 02:17:39 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.37  % Running in HO mode
% 0.23/0.68  % Total configuration time : 828
% 0.23/0.68  % Estimated wc time : 1656
% 0.23/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.23/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.23/0.75  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.23/0.78  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.23/0.78  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.23/0.78  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.23/0.78  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.48/0.79  % Solved by lams/40_c.s.sh.
% 1.48/0.79  % done 7 iterations in 0.029s
% 1.48/0.79  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.48/0.79  % SZS output start Refutation
% See solution above
% 1.48/0.79  
% 1.48/0.79  
% 1.48/0.79  % Terminating...
% 1.60/0.88  % Runner terminated.
% 1.60/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------